Our investigator said she was ­upstairs at home, while her strict mum was downstairs.

ShzKhan01 then said it was ­probably best that she wait until her mum went to bed before Skyping.

He went on: “I can see ur not comfortable,” before adding: “Ur 14.”

When our girl said she was 13, he leered: “Wow. Periods started?”

A stream of sickening messages followed, asking if she was a virgin and describing his private parts.

He revealed: “I would like to see u naked. That’s y askin Skype to trade pics over there.”

ShzKhan01 then asked her to send intimate pictures.

The Sunday People also found teenage girls posing provocatively on the website, wearing little clothing or even naked.

One girl had posted her mobile number and email address on her page and revealed she was 13.

A picture of her had attracted the attention of 24-year-old Surferman, who commented: “Too hot!”

Another user, aged 14, had posted an image of herself lifting up her shirt to show her stomach.

Male user Brad14, who is 16, wrote on her page: “Let’s see some t**s.”

My Lol.com uses a similar format to Facebook, with private messaging systems, a news feed and a wall on which to post pictures and make ­comments.

The difference is that ­profiles are all public.

Web experts have warned that ­teenagers anxious to evade parental control are abandoning well-known sites like Facebook and turning to ­unregulated places on the internet.

It is estimated that Facebook could lose up to 80 per cent of its users in three years to newer sites including MyLOL, Ask.fm and Chatroulette.

MyLOL.com: A screen grab from the chat website

A quarter of MyLOL users are ­believed to be under 16, making the site a potential magnet for paedophiles.

Benjamin Spratt, a 28-year-old taxi driver from Chelmsford, Essex, was jailed for nine years last year for sexual activity with a 14 and 15-year-old after he used the site to groom young girls by lying about his age.

Claire Lilley, head of child safety online at the NSPCC, said of MyLOL: “It’s very shocking. It took me three minutes to find a 24-year-old man messaging a 14-year-old girl, asking her to connect with him.

"It is actively encouraging children to meet strangers by sending suggestions of people who match their profile.

“We’re extremely worried because it puts children at huge risk – giving out personal details, even how to locate them and what school they are at.”

Many teenagers post what is called “Kik” user name, for an instant ­messaging app for smartphones.

Claire added: “There is lots of nudity on MyLOL, even though it’s against their terms and conditions.

"They don’t seem to be doing very much to enforce it.

MyLOL.com: A screen grab from the chat website

“Users are sent lists of members who match your profile. They promote connecting with strangers in a way that Facebook doesn’t.

"Anyone can see your account and it seems difficult to limit your ­profile.

"Anyone can message you and you are asked, ‘Do you want to meet him?’ It’s not just an online thing, they are promoting meeting in real life.”

The website says it takes no responsibility for interaction between ­members and advises people to tell police if they are sexually propositioned.

Claire said: “There are vulnerable children on there.

"Parents need to ­discourage children from going on this site. Be very clear about the risks.

“Don’t let them put their school, their location, their address, phone number or Kik pin.

"Explain there are people on that site who are not who they say they are.”

MyLOL, registered in Quebec, Canada, was unavailable for comment last night.

The site was founded by 18-year-old Australian Anthony Lipari but it is not known if he still runs it.

In 2008 he said: “We state clearly in the terms of service, specifically not to give out personal information.”

Asked about the danger of older men contacting young children he replied: “What can we do? We can’t actually find out if they’re paedophiles.

“They’re just guys using the site. They can report problems if guys are abusing them.”